chore(Lipschitz): split (#8264)

Move parts that don't need `MetricSpace`s to a new file.

Author: urkud

Mathlib.lean

@@ -3443,6 +3443,7 @@ import Mathlib.Topology.DenseEmbedding
 import Mathlib.Topology.DiscreteQuotient
 import Mathlib.Topology.DiscreteSubset
 import Mathlib.Topology.EMetricSpace.Basic
+import Mathlib.Topology.EMetricSpace.Lipschitz
 import Mathlib.Topology.EMetricSpace.Paracompact
 import Mathlib.Topology.ExtendFrom
 import Mathlib.Topology.ExtremallyDisconnected